Stock-Based Compensation - Weighted Average Fair Value (Details) - USD ($) $ / shares in Units, shares in Thousands, $ in Thousands	3 Months Ended	12 Months Ended
	Jan. 03, 2023	Jan. 03, 2023	Dec. 28, 2021	Dec. 29, 2020
Aggregate Intrinsic Value
Total intrinsic value of options exercised	$ 4,900
Restricted Shares and Restricted Share Units, Shares
Outstanding at end of the period (in shares)	2,123	2,123
Weighted Average Fair Value
Outstanding at end of the period (in dollars per share)	$ 44.82	$ 44.82
Stock options
Stock-Based Compensation
Weighted-average fair value at the grant date for options issued (in dollars per share)				$ 6.66
Weighted average assumptions under Black-Scholes valuation model
Expected option term		6 years 10 months 24 days
Expected stock price volatility (as a percent)		25.70%
Risk-free interest rate (as a percent)		1.50%
Dividend yield (as a percent)				3.60%
Stock option activity, Shares
Outstanding at beginning of year (in shares)		1,716
Exercised (in shares)		(2)
Forfeited or cancelled (in shares)		(29)
Outstanding at end of the period (in shares)	1,685	1,685	1,716
Exercisable at end of the period (in shares)	1,119	1,119
Weighted Average Exercise Price
Outstanding at beginning of year (in dollars per share)		$ 46.14
Exercised (in dollars per share)		40.16
Forfeited or cancelled (in dollars per share)		48.19
Outstanding at end of the period (in dollars per share)	$ 46.11	46.11	$ 46.14
Exercisable at end of the period (in dollars per share)	$ 48.10	$ 48.10
Weighted Average Remaining Contractual Term (In years)
Weighted Average Remaining Contractual Term (In years)		4 years 2 months 12 days	5 years 1 month 6 days
Exercisable at end of the period (In years)		3 years 2 months 12 days
Aggregate Intrinsic Value
Outstanding at beginning of year		$ 0
Outstanding at end of the period	$ 0	0	$ 0
Exercisable at end of the period	0	0
Total intrinsic value of options exercised			7,100	$ 100
Unrecognized Stock-based Compensation Expense
Total unrecognized stock-based compensation expenses related to unvested stock options, restricted shares and restricted share units	$ 2,500	$ 2,500
Expected weighted average period for recognition of compensation expense related to unvested stock option		1 year 8 months 12 days
Restricted Shares And Restricted Share Units [Member]
Restricted Shares and Restricted Share Units, Shares
Granted (in shares)		941
Vested (in shares)		(407)
Forfeited (in shares)		(145)
Outstanding at end of the period (in shares)	2,512	2,512
Fair value of shares vested		$ 18,500	$ 15,400	$ 15,600
Weighted Average Fair Value
Granted (in dollars per share)		$ 36.84	$ 49.57	$ 37.94
Vested (in dollars per share)		45.35
Forfeited (in dollars per share)		41.53
Outstanding at end of the period (in dollars per share)	$ 41.93	$ 41.93
Unrecognized Stock-based Compensation Expense
Total unrecognized stock-based compensation expenses related to unvested stock options, restricted shares and restricted share units	$ 50,200	$ 50,200
Expected weighted average period for recognition of compensation expense related to unvested stock option		2 years 10 months 24 days